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SageMath
E = EllipticCurve("ga1")
E.isogeny_class()
Elliptic curves in class 87120.ga
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
87120.ga1 | 87120o1 | \([0, 0, 0, 33, -99]\) | \(76032/125\) | \(-6534000\) | \([]\) | \(18432\) | \(-0.0072070\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 87120.ga1 has rank \(1\).
Complex multiplication
The elliptic curves in class 87120.ga do not have complex multiplication.Modular form 87120.2.a.ga
sage: E.q_eigenform(10)